Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
620b |
Isogeny class |
Conductor |
620 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
77500000000 = 28 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1207,9006] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:150:1] |
Generators of the group modulo torsion |
j |
759636032976/302734375 |
j-invariant |
L |
2.051852494783 |
L(r)(E,1)/r! |
Ω |
0.9873795522315 |
Real period |
R |
0.27707717059711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2480n2 9920a2 5580d2 3100a2 |
Quadratic twists by: -4 8 -3 5 |